Question

The product of 2 x 104 cm and 4 x 10–12 cm, expressed in scientific notation is ____. a. 8 x 10–7 cm2 b. 6 x 10–8 cm2 c. 8 x 10–8 cm2 d. 8 x 10–48 cm2

Answer 1

c. 8 * 10^-8 cm2

2*10^4=20000
20000*(4*10^-12)=8*10^-8

Answer 2

Answer:

c. 8 x 10–8 cm2

Explanation:

Scientific notation is an alternate method of representing very large or very small numbers. It is usually expressed in powers of 10.

In scientific notation the value is expressed in two parts:

Digit/Decimal number + Power of 10

The given numbers are:

2*10⁴ and 4*10⁻¹²

The product is:

$(2*10^{4} cm )(4*10^{-12} cm) = 8*10^{-8} cm^{2}$